Police said the sleeper coach bus, which was on its way to Lucknow from Delhi, overturned and fell on the other side of the expressway.
SHO of Usrahar police station, Vivek Kumar, said the injured were sent to the medical college in Saifai.
Normal traffic was restored on the expressway two hours later after the overturned bus was removed by the police and staff of Uttar Pradesh Expressways Industrial Development Authority.